Search a number
-
+
3338856 = 233279587
BaseRepresentation
bin1100101111001001101000
320021122001100
430233021220
51323320411
6155321400
740244163
oct14571150
96248040
103338856
111980594
121150260
138cb971
1462cada
1545e456
hex32f268

3338856 has 48 divisors (see below), whose sum is σ = 9172800. Its totient is φ = 1096992.

The previous prime is 3338849. The next prime is 3338861. The reversal of 3338856 is 6588333.

3338856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33388562 = 22295918777472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3338856.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5395 + ... + 5981.

It is an arithmetic number, because the mean of its divisors is an integer number (191100).

Almost surely, 23338856 is an apocalyptic number.

3338856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3338856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586400).

3338856 is an abundant number, since it is smaller than the sum of its proper divisors (5833944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3338856 is a wasteful number, since it uses less digits than its factorization.

3338856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 671 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3338856 is about 1827.2536769699. The cubic root of 3338856 is about 149.4626103818.

The spelling of 3338856 in words is "three million, three hundred thirty-eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 587 632 711 948 1174 1422 1761 1896 2348 2844 3522 4696 5283 5688 7044 10566 14088 21132 42264 46373 92746 139119 185492 278238 370984 417357 556476 834714 1112952 1669428 3338856